A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram.
the legs are 8 and 6 in
Which measurement is closest to the volume of the party hat in cubic inches?
To find the volume of a cone, you can use the formula V=1/3πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
In this case, the radius of the base of the cone is half of the larger leg of the triangle, so it is 8/2 = 4 inches. The height of the cone is the smaller leg of the triangle, which is 6 inches.
Plugging these values into the formula, we get:
V = 1/3 * π * 4^2 * 6
V = 1/3 * π * 16 * 6
V = 1/3 * π * 96
V ≈ 100.53 cubic inches
Therefore, the measurement closest to the volume of the party hat in cubic inches is 100 cubic inches.